Approximation and Data Fitting Methods: Part 1, Introduction to Numerical Approximation Methods

摘要

After a general statement of the numerical approximation problem and a discussion of the existence and uniqueness of best approximations, these notes treat polynomial interpolation, piecewise polynomial interpolation (including shape preserving methods and B-splines), parametric interpolation, multivariate interpolation, and functional approximation (including uniform and least squares approximation by polynomials). 4 refs. (ERA citation 12:015255)